Home
Class 12
MATHS
Determine, k if the following function i...

Determine, k if the following function is continuous at `x = 0`
`f(x) = {{:((sin 3x)/(4x), x != 0),(k,x = 0):}`

Text Solution

Verified by Experts

The correct Answer is:
`k = 3/4`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section III)|3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section IV)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

Determine k, if the following function is continuous at x = 0 f(x) = {{:((1 - cos 2x)/(2x^2)"," ,x != 0),(k",", x = 0):}

(a) Determine the value of k so that the following function f(x) is continous at x=0 f(x)={((sin2x)/(x)" , if "xne0),(k" , if "x=0):} (b) Determine k, if the following function is continuous at x=0: f(x)={((sin3x)/(4x)" , "xne0),(k" , "x=0):} (c) Determine k so that the following function f(x) is continuous at x=0 f(x)={((sin5x)/(3x)" , "xne0),(k" , "x=0):}

Determine the value of k so that following functions are continuous at x = 0 f(x) = {{:((sin 2x)/(x)"," ,"if " x != 0),(k",","if " x = 0):}

Determine value of k so that the following function f(x) is continuous at x = 0. f(x) ={((sin 5x)/(3x)),(k):}, ((x ne 0),(x =0))

Show that the following function is continuous at x = 0: f(x) = x sin1.x, when x ne 0 f(0) = 0.

Test the continuity of the following functions at indicated points : f(x) = {{:((x) "sin" 1/(x)"," ,x != 0),(0",", x = 0):} at x = 0

If the following function f(x) is continuous at x = 0, find the value of 'a': f(x) = {:{((1-cos4x)/x2,x 0):}

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES (Short Answer Type Questions)(Section II)
  1. Prove that the function f(x) = 5x-3, is contNuous at x=0, at x=-3 a...

    Text Solution

    |

  2. Prove that the function f(x) = x + |x| is continuous at x = 0.

    Text Solution

    |

  3. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

    Text Solution

    |

  4. Discuss the continuity of function f(x) at 0 , if f(x) = |x| .

    Text Solution

    |

  5. Discuss the continuity of f(x) = 0 at x = 0 if f(x) = {{:((sqrt(1 + ...

    Text Solution

    |

  6. Show that the function f(x) = {{:(x^2 + 3 , "if" x != 0),(1,"if" x = 0...

    Text Solution

    |

  7. Determine the constant k, so that function f (x) is continuous at the ...

    Text Solution

    |

  8. Determine, k if the following function is continuous at x = 0 f(x) =...

    Text Solution

    |

  9. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  10. Find the value of k so that the function f is continuous at the indica...

    Text Solution

    |

  11. Find the relationship between a and b so that the function f defined b...

    Text Solution

    |

  12. For what value of lambda is the function defined by f(x)={(lambda(x^2...

    Text Solution

    |

  13. Find all points of discontinuity of f, where f is defined by : f(x)={(...

    Text Solution

    |

  14. Is the function defined by f(x)={(x+5,,,,if x le 1),(x-5,,,,if x>1):}...

    Text Solution

    |

  15. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

    Text Solution

    |

  16. Find the values of a and b such that the function defined by : f(x)={(...

    Text Solution

    |